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springo
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Homework Statement
What's the derivative of the following two:
[tex]\int_{a}^{h(x)}f(t)\,\mathrm{d}t[/tex]
[tex]\int_{u(x)}^{v(x)}f(t)\,\mathrm{d}t[/tex]
Homework Equations
The Attempt at a Solution
I thought of doing the following:
[tex]\int_{h(a)}^{h(x)}f(t)\,\mathrm{d}t = \int_{a}^{x}f\circ h(u)\cdot h'(u)\,\mathrm{d}u[/tex]
(with t = h(u) )
But then I don't know how to continue.
Thanks for your help.